{"id":14742,"date":"2021-05-21T23:33:18","date_gmt":"2021-05-21T18:03:18","guid":{"rendered":"https:\/\/learnsteer.sasnaka.org\/science\/?p=14742"},"modified":"2022-01-27T01:22:09","modified_gmt":"2022-01-26T19:52:09","slug":"01-10-00","status":"publish","type":"post","link":"https:\/\/learnsteer.sasnaka.org\/science\/advanced-level-science\/01-10-00\/","title":{"rendered":"01.10.00 &#8211; \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0d9a \u0dc3\u0db8\u0dca\u0db8\u0dad \u0d85\u0d82\u0d9a\u0db1"},"content":{"rendered":"\r\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\r\n<div class=\"wp-block-button is-style-shadow\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/uc?export=download&amp;id=1P5NB7qtp0SPh9BHyVkJEBJIpFjJ2V11a\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<ul class=\"wp-block-list\">\r\n<li><strong>\u0dc3\u0d82\u0dba\u0dd4\u0d9a\u0dca\u0dad \u0d9c\u200d\u0dab\u0dd2\u0dad\u0dba 1 \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 \u0db4\u0dad\u0dca\u200d\u0dbb\u0dba\u0dda B \u0d9a\u0ddc\u0da7\u0dc3\u0dda 17 \u0dc0\u0db1 \u0d9c\u0dd0\u0da7\u0dbd\u0dd4\u0dc0\u0dda \u0d85\u0da9\u0d82\u0d9c\u0dd4 \u0dc0\u0db1\u0dca\u0db1\u0dda \u0db8\u0dd9\u0db8 \u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0dd2\u0daf\u0dca\u0db0\u0dcf\u0db1\u0dca\u0dad \u0dc0\u0dda.<\/strong><\/li>\r\n<\/ul>\r\n\r\n\r\n\r\n<h2 class=\"wp-block-heading\"><strong>ABC \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0dda \u0dc3\u0db8\u0dca\u0db8\u0dad \u0d85\u0d82\u0d9a\u0db1\u0dba<\/strong><\/h2>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"278\" height=\"220\" class=\"wp-image-16625\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10IMAGE.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10IMAGE.png 278w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10IMAGE-150x119.png 150w\" sizes=\"(max-width: 278px) 100vw, 278px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}A+B+C\\;&amp;=&amp;\\;\\mathrm\\pi\\\\\\mathrm a+\\mathrm b+\\mathrm c&amp;=&amp;\\;2\\mathrm s\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\">s = \u0d85\u0dbb\u0dca\u0db0 \u0db4\u0dbb\u0dcf\u0db8\u0dd2\u0dad\u0dd2\u0dba<\/p>\r\n\r\n\r\n\r\n<h2 class=\"wp-block-heading\"><strong>Sin \u0dc3\u0dd6\u0dad\u0dca\u200d\u0dbb\u0dba<\/strong><\/h2>\r\n\r\n\r\n\r\n<p>\u0d95\u0db1\u0dd1\u0db8 ABC \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0d9a\u0dca \u0dc3\u0daf\u0dc4\u0dcf,<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\boxed{\\frac a{\\sin A}\\;\\;=\\;\\frac b{\\sin B}\\;\\;=\\;\\;\\;\\frac c{\\sin C\\;}}<\/span><\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>Sin\u00a0\u0db1\u0dd3\u0dad\u0dd2\u0dba \u0d94\u0db4\u0dca\u0db4\u0dd4 \u0d9a\u0dd2\u0dbb\u0dd3\u0db8<\/strong><\/h3>\r\n\r\n\r\n\r\n<p>1. <span class=\"wp-katex-eq\" data-display=\"false\">A&lt;\\frac\\pi2\\text{\u0dc0\u0dd2\u0da7\u200d}<\/span><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"203\" height=\"179\" class=\"wp-image-16617\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img2_.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img2_.png 203w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img2_-150x132.png 150w\" sizes=\"(max-width: 203px) 100vw, 203px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\">CM = bsinA<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\">CM = asinB<\/p>\r\n\r\n\r\n\r\n<p>2. <span class=\"wp-katex-eq\" data-display=\"false\">A=\\frac\\pi2\\text{\u0dc0\u0dd2\u0da7\u200d}<\/span><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"187\" height=\"166\" class=\"wp-image-16619\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img3_.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img3_.png 187w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img3_-150x133.png 150w\" sizes=\"(max-width: 187px) 100vw, 187px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\mathrm{CM}&amp;=&amp;\\mathrm b\\;\\mathrm x1\\\\&amp;=&amp;\\mathrm b\\;\\sin\\frac{\\mathrm\\pi}2\\;\\\\&amp;=&amp;\\mathrm b\\;\\mathrm{sinA}\\;\\;\\\\\\mathrm{CM}&amp;=&amp;\\mathrm a\\;\\mathrm{sinB}\\text{\u200d}\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<p>3. <span class=\"wp-katex-eq\" data-display=\"false\">A&gt;\\frac\\pi2\\text{\u0dc0\u0dd2\u0da7\u200d}<\/span><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-16621\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img4_.png\" alt=\"\" width=\"276\" height=\"155\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\;\\mathrm{CM}&amp;=&amp;\\mathrm b\\;\\sin(\\mathrm\\pi-\\mathrm A)\\\\&amp;=&amp;\\mathrm{bsinA}\\\\\\mathrm{CM}&amp;=&amp;\\mathrm a\\;\\mathrm{sinB}\\text{\u200d}\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}{1,2\\mathrm{ \u0dc4\u0dcf}\\;3\\;\\;\\mathrm{ \u0d85\u0dc0\u0dc3\u0dca\u0dae\u0dcf}\\;\\;\\mathrm{ \u0d85\u0db1\u0dd4\u0dc0},}\\;\\;\\;\\;\\;\\;\\;\\\\\\mathrm{CM}&amp;=&amp;\\mathrm b\\;\\mathrm{sinA}\\;=\\mathrm a\\;\\mathrm{sinB}\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\\\{\\mathrm{sinA}\\;\\mathrm{sinB}\\;\\mathrm{\u0dc0\u0dbd\u0dd2\u0db1\u0dca}\\;\\mathrm{ \u0db6\u0dd9\u0daf\u0dd3\u0db8\u0dd9\u0db1\u0dca,}\\;}\\\\[4px]\\frac{\\;\\mathrm b\\;\\mathrm{sinA}}{\\mathrm{sinA}\\;\\mathrm{sinB}}\\;&amp;=&amp;\\;\\frac{\\mathrm a\\;\\mathrm{sinB}}{\\mathrm{sinA}\\;\\mathrm{sinB}}\\\\[4px]\\frac{\\mathrm b}{\\mathrm{sinB}}\\;\\;&amp;=&amp;\\frac{\\mathrm a}{\\mathrm{sinA}}\\;---\\;\\left[1\\right]\\\\\\mathrm{\u0d91\u0db8\u0dd9\u0db1\u0dca\u0db8,}\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\\\\\frac{\\mathrm a}{\\mathrm{sinA}}\\;\\;&amp;=&amp;\\frac{\\mathrm c}{\\mathrm{sinC}}\\;\\;\\mathrm{\u0dc0\u0dda}\\;.\\;\\;\\;---\\;\\left[2\\right]\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\\\&amp;&amp;\\\\\\left[1\\right]&amp;=&amp;\\left[2\\right]\\;\\mathrm{ \u0db1\u0dd2\u0dc3\u0dcf}\\;\\text{\u200d}\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\boxed{\\frac a{\\sin A}\\;\\;=\\;\\frac b{\\sin B}\\;\\;=\\;\\;\\;\\frac c{\\sin C\\;}}<\/span><\/p>\r\n\r\n\r\n\r\n<p>\u0d91\u0db8\u0dd9\u0db1\u0dca\u0db8,<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\boxed{\\frac{\\sin A}a\\;\\;=\\;\\frac{\\sin B}b\\;\\;=\\;\\;\\;\\frac{\\sin C\\;}c}<\/span><\/p>\r\n\r\n\r\n\r\n<h2 class=\"wp-block-heading\"><strong>COS \u200d\u0dc3\u0dd6\u0dad\u0dca\u200d\u0dbb\u0dba<\/strong><\/h2>\r\n\r\n\r\n\r\n<p>\u0d95\u0db1\u0dd1\u0db8\u00a0ABC \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0d9a\u0dca \u0dc3\u0daf\u0dc4\u0dcf,<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\boxed{a^2=b^2+c^2-2bc\\;\\cos A}<\/span><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-left\">\u00a0<\/p>\r\n\r\n\r\n\r\n<p>\u0d91\u0db8\u0dd9\u0db1\u0dca\u0db8,<\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{l}\\\\b^2=a^2+c^2-2bc\\cos A\\;\\text{\u0dc0\u0dda}\\;.\\\\c^2=a^2+b^2-2ab\\cos C\\;\\mathrm{\u0dc0\u0dda}\\;.\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>COS \u0db1\u0dd3\u0dad\u0dd2\u0dba \u0d94\u0db4\u0dca\u0db4\u0dd4 \u0d9a\u0dd2\u0dbb\u0dd3\u0db8<\/strong><\/h3>\r\n\r\n\r\n\r\n<p>1. <span class=\"wp-katex-eq\" data-display=\"false\">A&lt;\\frac\\pi2\\text{\u0dc0\u0dd2\u0da7\u200d}<\/span><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"203\" height=\"179\" class=\"wp-image-16622\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img2_-1.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img2_-1.png 203w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img2_-1-150x132.png 150w\" sizes=\"(max-width: 203px) 100vw, 203px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\mathrm{CM}&amp;=&amp;\\mathrm b\\;\\mathrm{sinA}\\;\\;\\\\\\mathrm{BM}&amp;=&amp;\\mathrm c-\\mathrm b\\;\\mathrm{cosA}\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<p>2. <span class=\"wp-katex-eq\" data-display=\"false\">A=\\frac\\pi2\\text{\u0dc0\u0dd2\u0da7\u200d}<\/span><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"187\" height=\"166\" class=\"wp-image-16623\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img3_-1.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img3_-1.png 187w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img3_-1-150x133.png 150w\" sizes=\"(max-width: 187px) 100vw, 187px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}CM&amp;=&amp;b\\;\\times1\\;\\\\&amp;=&amp;b\\;\\sin\\;\\;\\left(\\frac\\pi2\\right)\\\\&amp;=&amp;b\\;\\sin A\\;\\;\\;\\\\BM&amp;=&amp;c-0\\\\&amp;=&amp;c-b\\cos\\left(\\frac\\pi2\\right)\\;\\\\&amp;=&amp;c-b\\;\\cos A\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<p>3. <span class=\"wp-katex-eq\" data-display=\"false\">A&gt;\\frac\\pi2\\text{\u0dc0\u0dd2\u0da7\u200d}<\/span><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-16624\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img4_-1.png\" alt=\"\" width=\"276\" height=\"157\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img4_-1.png 358w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img4_-1-300x171.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img4_-1-150x85.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/01.10.img4_-1-356x204.png 356w\" sizes=\"(max-width: 276px) 100vw, 276px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}CM&amp;=&amp;b\\;\\sin(\\pi-A)\\\\BM&amp;=&amp;c+b\\cos(\\pi-A)\\\\&amp;=&amp;c-b\\;\\cos A\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\text{1 , 2 , \u0dc4\u0dcf 3 \u0d85\u0dc0\u0dc3\u0dca\u0dae\u0dcf \u0d85\u0db1\u0dd4\u0dc0,}\\\\BC^2&amp;=&amp;CM^2+MB^2\\\\a^2&amp;=&amp;(bsinA)^2+(c-bcosA^{)2}\\\\a^2&amp;=&amp;b^2sin2A+c^2-2bccosA+b2cos^2A\\\\a^2&amp;=&amp;b^2(sin^2A+cos^2A)+c^2-2bccosA\\\\a^2&amp;=&amp;b^2+c^2-2bccosA\\\\\\text{\u0d91\u0db8\u0dd9\u0db1\u0dca\u0db8,\u00a0}\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\\\b^2&amp;=&amp;a^2+c^2-2bccosB\\;\\mathrm{\u0dc0\u0dda}.\\\\c^2&amp;=&amp;a^2+b^2-2abcosC\\;\\text{\u0dc0\u0dda}.\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>COS \u0dc3\u0dd6\u0dad\u0dca\u200d\u0dbb\u0dba \u0db7\u0dcf\u0dc0\u0dd2\u0dad\u0dcf \u0d9a\u0dbb\u0db8\u0dd2\u0db1\u0dca sin\u00a0\u0db1\u0dd3\u0dad\u0dd2\u0dba \u0d94\u0db4\u0dca\u0db4\u0dd4 \u0d9a\u0dd2\u0dbb\u0dd3\u0db8<\/strong><\/h3>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}a^2&amp;=&amp;b^2+c^2-2bccosA\\\\2bccosA&amp;=&amp;b^2+c^2-a^2\\\\[4px]cosA=\\frac{(b^2+c^2-a^2)}{2bc}\\\\[4px]cos^2A&amp;=&amp;\\frac{(b^2+c^2-a^2)^2}{(2bc)^2}\\\\[4px]1-sin^2A&amp;=&amp;\\frac{(b^2+c^2-a^2)^2}{(2bc)^2}\\\\[4px]sin^2A&amp;=&amp;1-\\frac{(b^2+c^2-a^2)^2}{(2bc)^2}\\\\[4px]sin^2A&amp;=&amp;\\frac{(2bc)^2-(b^2+c^2-a^2)^2}{(2bc)^2}\\\\[4px]sin^2A&amp;=&amp;\\frac{[2bc-(b^2+c^2-a^2)][2bc+(b^2+c^2-a^2)]}{(2bc)^2}\\\\[4px]sin^2A&amp;=&amp;\\frac{[a^2-(b^2+c^2-2bc)][(b+c)^2-a^2]}{(2bc)^2}\\\\[4px]sin^2A&amp;=&amp;\\frac{[a^2-(b-c)^2][(b+c)^2-a^2]}{(2bc)^2}\\\\[4px]sin^2A&amp;=&amp;\\frac{{(a-b+c)(a+b-c)}{(b+c-a)(b+c+a)}}{(2bc)^2}\\\\[4px]\\frac{\\sin^2A}{a^2}&amp;=&amp;\\frac{{(a-b+c)(a+b-c)}{(b+c-a)(b+c+a)\\;}}{(2bc)^2a^2}\\\\[4px]\\frac{\\sin^2A}{a^2}&amp;=&amp;\\frac{(a-b+c)(a+b-c)(b+c-a)(b+c+a)}{\\;(2abc)^2\\;}\\\\[4px]\\frac{\\sin A}{a}&amp;=&amp;\\frac{\\sqrt{a-b+c)(a+b-c)(b+c-a)(b+c+a)}}{2abc}\\;---\\boxed1\\\\\\text{\u0d91\u0db8\u0dd9\u0db1\u0dca\u0db8}\\;\\;\\;\\;\\;\\;\\\\\\frac{\\sin B}b&amp;=&amp;\\frac{\\sqrt{(a-b+c)(a+b-c)(b+c-a)(b+c+a)}}{2abc}---\\boxed2\\\\[4px]\\frac{\\sin C}c&amp;=&amp;\\frac{\\sqrt{(a-b+c)(a+b-c)(b+c-a)(b+c+a)}}{2abc}---\\boxed3\\\\[8px]\\boxed1\\;&amp;=&amp;\\;\\boxed2\\;=\\;\\boxed3\\\\[6px]\\therefore\\frac{\\sin A}a&amp;=&amp;\\frac{\\sin B}b=\\frac{\\sin C}c\\text{\u0dc0\u0dda}\\\\[4px]\\therefore\\frac a{sinA}&amp;=&amp;\\frac b{sinB}=\\frac c{sinC}\\text{\u0dc0\u0dda}\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<h3 class=\"wp-block-heading\"><strong>sin\u00a0\u0dc3\u0dd6\u0dad\u0dca\u200d\u0dbb\u0dba \u0db7\u0dcf\u0dc0\u0dd2\u0dad\u0dcf \u0d9a\u0dbb\u0db8\u0dd2\u0db1\u0dca cos \u0db1\u0dd3\u0dad\u0dd2\u0dba \u0d94\u0db4\u0dca\u0db4\u0dd4 \u0d9a\u0dd2\u0dbb\u0dd3\u0db8<\/strong><\/h3>\r\n\r\n\r\n\r\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\dfrac a{\\sin A}&amp;=&amp;\\dfrac b{\\sin B}=\\dfrac c{\\sin C}=\\lambda\\;\\text{\u0dba\u0dd0\u0dba\u0dd2 \u0d9c\u0db1\u0dd2\u0db8\u0dd4}\\\\[4px]\\dfrac{b^2+c^2-a^2}{2bc}&amp;=&amp;\\dfrac{(\\lambda\\sin B)^2+(\\lambda\\sin C)^2-(\\lambda\\sin A)^2}{(2\\times\\lambda\\sin B\\lambda\\sin C)}\\\\[4px]&amp;=&amp;\\dfrac1{2sinBsinC}\\left[\\dfrac{(1-\\cos2B)}2+\\dfrac{(1-\\cos2C)}2-\\dfrac{(1-\\cos2A)}2\\right]\\\\[4px]&amp;=&amp;\\dfrac1{2sinBsinC}\\times\\dfrac12\\lbrack1-(cos2B+cos2C)+1-1+cos2A\\rbrack\\\\[4px]&amp;=&amp;\\dfrac1{4sinBsinC}\\lbrack1+2cos^2A-1-(2cos(B+C)\\cos(B-C)\\rbrack\\\\[4px]&amp;=&amp;\\dfrac1{4sinBsinC}\\lbrack2cos^2A+2cosAcos(B-C)\\rbrack\\\\[4px]&amp;=&amp;\\dfrac1{4sinBsinC}\\times2cosA\\lbrack cosA+cos(B-C)\\rbrack\\\\[4px]&amp;=&amp;\\dfrac{\\cos A}{2sinBsinC}\\lbrack-cos(B+C)+cos(B-C)\\rbrack\\\\[4px]&amp;=&amp;\\dfrac{\\cos A}{2sinBsinC}\\times2sinBsinC\\\\[4px]&amp;=&amp;cosA\\\\&amp;&amp;\\end{array}<\/span><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-cover has-background-dim\" style=\"background-color: #ff8a8a\">\r\n<div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\r\n<p class=\"has-text-color has-background\" style=\"background-color: #ff8a8a;color: #7c1b1b;font-size: 20px\"><strong>\u0db4\u0dd4\u0d82\u0da0\u0dd2 \u0d85\u0db7\u0dd2\u0dba\u0ddd\u0d9c\u0dba\u0d9a\u0dca!<br \/>\u0dc3\u0db8\u0dca\u0db8\u0dad \u0d85\u0d82\u0d9a\u0db1\u0dba\u0da7 \u0d85\u0db1\u0dd4\u0dc0 \u0db1\u0db8\u0dca \u0d9a\u0dbb\u0db1 \u0dbd\u0daf \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0d9a A,B \u0dc4\u0dcf C \u0d9a\u0ddd\u0dab\u0dc0\u0dbd \u0d85\u0d9c\u0dba\u0dba\u0db1\u0dca \u0dc3\u0db8\u0dcf\u0db1\u0dca\u0dad\u0dbb \u0dc1\u0dca\u200d\u0dbb\u0dda\u0dab\u0dd2\u0dba\u0d9a \u0d85\u0db1\u0dd4\u0dba\u0dcf\u0dad \u0db4\u0daf \u0dbd\u0dd9\u0dc3 \u0db4\u0dd2\u0dc4\u0dd2\u0da7\u0dba\u0dd2 \u0db1\u0db8\u0dca,<\/strong><br \/><strong> <span class=\"wp-katex-eq\" data-display=\"false\">\\frac ac\\;\\sin2C+\\frac ca\\;\\sin2A\\;<\/span>\u0dc4\u0dd2 \u0d85\u0d9c\u0dba \u0dc3\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/strong><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\r\n<div class=\"wp-block-button is-style-shadow\"><a class=\"wp-block-button__link has-background\" style=\"border-radius: 10px;background: linear-gradient(135deg,#0693e3 0%,#7c1b1b 3%)\" href=\"https:\/\/learnsteer.sasnaka.org\/science\/?p=31405\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dd2\u0dc5\u0dd2\u0dad\u0dd4\u0dbb \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1<\/a><\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n<\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<h2 class=\"wp-block-heading\"><strong>\u0db4\u0dc3\u0dd4\u0d9c\u0dd2\u0dba \u0dc0\u0dd2\u0db7\u0dcf\u0d9c \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1\u200d<\/strong><\/h2>\r\n\r\n\r\n\r\n<p><strong>2020 <\/strong><strong>AL<\/strong><\/p>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"582\" height=\"275\" class=\"wp-image-16615\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-262.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-262.png 582w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-262-300x142.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-262-150x71.png 150w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"650\" height=\"882\" class=\"wp-image-16630\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-263.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-263.png 650w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-263-221x300.png 221w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-263-150x204.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-263-300x407.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-263-310x420.png 310w\" sizes=\"(max-width: 650px) 100vw, 650px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"650\" height=\"217\" class=\"wp-image-16631\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-264.png\" alt=\"\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-264.png 650w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-264-300x100.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/05\/image-264-150x50.png 150w\" sizes=\"(max-width: 650px) 100vw, 650px\" \/><\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\"><div class=\"epyt-video-wrapper\"><iframe loading=\"lazy\"  id=\"_ytid_57190\"  width=\"696\" height=\"392\"  data-origwidth=\"696\" data-origheight=\"392\"  data-relstop=\"1\" src=\"https:\/\/www.youtube.com\/embed\/kOZqJZrdr88?enablejsapi=1&autoplay=0&cc_load_policy=0&cc_lang_pref=&iv_load_policy=1&loop=0&rel=0&fs=1&playsinline=0&autohide=2&theme=dark&color=red&controls=1&\" class=\"__youtube_prefs__  no-lazyload\" title=\"YouTube player\"  allow=\"fullscreen; accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\"><\/iframe><\/div><\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\"><div class=\"epyt-video-wrapper\"><iframe loading=\"lazy\"  id=\"_ytid_69643\"  width=\"696\" height=\"392\"  data-origwidth=\"696\" data-origheight=\"392\"  data-relstop=\"1\" src=\"https:\/\/www.youtube.com\/embed\/2pZra6vJ_0A?enablejsapi=1&autoplay=0&cc_load_policy=0&cc_lang_pref=&iv_load_policy=1&loop=0&rel=0&fs=1&playsinline=0&autohide=2&theme=dark&color=red&controls=1&\" class=\"__youtube_prefs__  no-lazyload\" title=\"YouTube player\"  allow=\"fullscreen; accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen data-no-lazy=\"1\" data-skipgform_ajax_framebjll=\"\"><\/iframe><\/div><\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n<div aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\r\n<div class=\"wp-block-button is-style-shadow td_btn_normal\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/uc?export=download&amp;id=1P5NB7qtp0SPh9BHyVkJEBJIpFjJ2V11a\" target=\"_blank\" rel=\"noreferrer noopener\">\u0db4\u0dcf\u0da9\u0db8\u0dda \u0dc3\u0da7\u0dc4\u0db1 Download \u0d9a\u0dbb\u0d9c\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-block-buttons-is-layout-flex\">\r\n<div class=\"wp-block-button is-style-shadow td_btn_normal\"><a class=\"wp-block-button__link\" style=\"border-radius: 15px\" href=\"https:\/\/drive.google.com\/drive\/folders\/1Pbuvhbye_zmoyMl2ILwV3MSTtfwpysXB?usp=sharing\" target=\"_blank\" rel=\"noreferrer noopener\">\u0dad\u0dc0\u0dad\u0dca \u0db4\u0dca\u200d\u0dbb\u0dc1\u0dca\u0db1 \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1.<\/a><\/div>\r\n<\/div>\r\n\r\n\r\n\r\n<div class=\"wp-block-spacer\" style=\"height: 100px\" aria-hidden=\"true\">\u00a0<\/div>\r\n\r\n\r\n\r\n<p>&nbsp;<\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>\u0d94\u0dca\u0db1\u0dd1\u0db8 \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0dba\u0d9a\u0dca \u0dc3\u0daf\u0dc4\u0dcf \u0dc3\u0db8\u0dca\u0db8\u0dad \u0d85\u0d82\u0d9a\u0db1\u0dba \u0d85\u0db0\u0dca\u200d\u0dba\u0db1\u0dba \u0d9a\u0dbb\u0dba\u0dd2.<\/p>\n","protected":false},"author":21,"featured_media":16558,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"tdm_status":"","tdm_grid_status":"","footnotes":""},"categories":[3650,3632,42,3630,3629],"tags":[3862,4505,4503,3759,4052,4504,4502,4501,3993,4500,4059,4507],"class_list":{"0":"post-14742","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-01-10-properties-of-a-triangle","8":"category-01-trigonometry","9":"category-advanced-level-science","10":"category-pure-mathematics","11":"category-combined-mathematics","12":"tag-combined","13":"tag-cos","14":"tag-cos-","15":"tag-maths","16":"tag-sanyuktha-ganithaya","17":"tag-sin","18":"tag-sin-","19":"tag-standard-notation-of-a-triangle","20":"tag-trigonometry","21":"tag-trikonamithiya","22":"tag-usaspela-ganithaya","23":"tag-4507"},"_links":{"self":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/14742"}],"collection":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/users\/21"}],"replies":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/comments?post=14742"}],"version-history":[{"count":72,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/14742\/revisions"}],"predecessor-version":[{"id":35304,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/14742\/revisions\/35304"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/media\/16558"}],"wp:attachment":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/media?parent=14742"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/categories?post=14742"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/tags?post=14742"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}